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Simplifying (5w + 3)(2w + -6v + -5) = 0 Reorder the terms: (3 + 5w)(2w + -6v + -5) = 0 Reorder the terms: (3 + 5w)(-5 + -6v + 2w) = 0 Multiply (3 + 5w) * (-5 + -6v + 2w) (3(-5 + -6v + 2w) + 5w * (-5 + -6v + 2w)) = 0 ((-5 * 3 + -6v * 3 + 2w * 3) + 5w * (-5 + -6v + 2w)) = 0 ((-15 + -18v + 6w) + 5w * (-5 + -6v + 2w)) = 0 (-15 + -18v + 6w + (-5 * 5w + -6v * 5w + 2w * 5w)) = 0 Reorder the terms: (-15 + -18v + 6w + (-30vw + -25w + 10w2)) = 0 (-15 + -18v + 6w + (-30vw + -25w + 10w2)) = 0 Reorder the terms: (-15 + -18v + -30vw + 6w + -25w + 10w2) = 0 Combine like terms: 6w + -25w = -19w (-15 + -18v + -30vw + -19w + 10w2) = 0 Solving -15 + -18v + -30vw + -19w + 10w2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -18v + -30vw + -19w + 15 + 10w2 = 0 + 15 Reorder the terms: -15 + 15 + -18v + -30vw + -19w + 10w2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -18v + -30vw + -19w + 10w2 = 0 + 15 -18v + -30vw + -19w + 10w2 = 0 + 15 Combine like terms: 0 + 15 = 15 -18v + -30vw + -19w + 10w2 = 15 Add '19w' to each side of the equation. -18v + -30vw + -19w + 19w + 10w2 = 15 + 19w Combine like terms: -19w + 19w = 0 -18v + -30vw + 0 + 10w2 = 15 + 19w -18v + -30vw + 10w2 = 15 + 19w Add '-10w2' to each side of the equation. -18v + -30vw + 10w2 + -10w2 = 15 + 19w + -10w2 Combine like terms: 10w2 + -10w2 = 0 -18v + -30vw + 0 = 15 + 19w + -10w2 -18v + -30vw = 15 + 19w + -10w2 Reorder the terms: -15 + -18v + -30vw + -19w + 10w2 = 15 + 19w + -10w2 + -15 + -19w + 10w2 Reorder the terms: -15 + -18v + -30vw + -19w + 10w2 = 15 + -15 + 19w + -19w + -10w2 + 10w2 Combine like terms: 15 + -15 = 0 -15 + -18v + -30vw + -19w + 10w2 = 0 + 19w + -19w + -10w2 + 10w2 -15 + -18v + -30vw + -19w + 10w2 = 19w + -19w + -10w2 + 10w2 Combine like terms: 19w + -19w = 0 -15 + -18v + -30vw + -19w + 10w2 = 0 + -10w2 + 10w2 -15 + -18v + -30vw + -19w + 10w2 = -10w2 + 10w2 Combine like terms: -10w2 + 10w2 = 0 -15 + -18v + -30vw + -19w + 10w2 = 0 The solution to this equation could not be determined.
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